Stability analysis of dual solutions for boundary layer stagnation point flow over a shrinking sheet with suction

At the surface of the object in the flow field, there exist stagnation points when the fluid is brought to rest effected from the object. This stagnation region experiences the highest pressure. This thesis studies some problems in stagnation point region by considering five problem in differe...

Full description

Saved in:

Bibliographic Details
Main Author:	Ismail, Nurul Syuhada
Format:	Thesis
Language:	English
Published:	2018
Subjects:	Aerothermodynamics Stagnation point
Online Access:	http://psasir.upm.edu.my/id/eprint/77181/1/IPM%202018%2010%20-%20IR.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-upm-ir.77181
record_format	uketd_dc
spelling	my-upm-ir.771812020-03-05T02:02:28Z Stability analysis of dual solutions for boundary layer stagnation point flow over a shrinking sheet with suction 2018-07 Ismail, Nurul Syuhada At the surface of the object in the flow field, there exist stagnation points when the fluid is brought to rest effected from the object. This stagnation region experiences the highest pressure. This thesis studies some problems in stagnation point region by considering five problem in different situation. The five problems considered are stagnation point flow over exponentially shrinking sheet, stagnation point flow over shrinking sheet in homogeneoues heterogeneous reactions, MHD stagnation point flow over shrinking sheet, MHD stagnation point flow over shrinking sheet in nanofluid and unsteady MHD stagnation point flow over shrinking sheet. Shrinking sheet and suction parameter is considered in all the problems. The partial differential equations for each problem are first transformed into similarity equations in ordinary differential equations form by similarity transformations. Then, the equation obtained are then solved numerically by using the bvp4c function and shooting method. We used commercially available software which is Maple to generate the shooting technique where Runge-Kutta method together with Newton-Raphson method is involved. Meanwhile bvp4c function is used in MATLAB. Comparisons with existing solutions in literature for specific cases have been made and the present results show an excellent agreement from previous work. It is found that dual solutions exist for a certain range of shrinking and suction parameter for all problems. Therefore, stability analysis is performed to determine the stable solutions by using the bvp4c function. This analysis concludes that, only the first solution is stable and physically significant while the second solution is unstable. Aerothermodynamics Stagnation point 2018-07 Thesis http://psasir.upm.edu.my/id/eprint/77181/ http://psasir.upm.edu.my/id/eprint/77181/1/IPM%202018%2010%20-%20IR.pdf text en public doctoral Universiti Putra Malaysia Aerothermodynamics Stagnation point Md. Arifin, Norihan
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English
advisor	Md. Arifin, Norihan
topic	Aerothermodynamics Stagnation point
spellingShingle	Aerothermodynamics Stagnation point Ismail, Nurul Syuhada Stability analysis of dual solutions for boundary layer stagnation point flow over a shrinking sheet with suction
description	At the surface of the object in the flow field, there exist stagnation points when the fluid is brought to rest effected from the object. This stagnation region experiences the highest pressure. This thesis studies some problems in stagnation point region by considering five problem in different situation. The five problems considered are stagnation point flow over exponentially shrinking sheet, stagnation point flow over shrinking sheet in homogeneoues heterogeneous reactions, MHD stagnation point flow over shrinking sheet, MHD stagnation point flow over shrinking sheet in nanofluid and unsteady MHD stagnation point flow over shrinking sheet. Shrinking sheet and suction parameter is considered in all the problems. The partial differential equations for each problem are first transformed into similarity equations in ordinary differential equations form by similarity transformations. Then, the equation obtained are then solved numerically by using the bvp4c function and shooting method. We used commercially available software which is Maple to generate the shooting technique where Runge-Kutta method together with Newton-Raphson method is involved. Meanwhile bvp4c function is used in MATLAB. Comparisons with existing solutions in literature for specific cases have been made and the present results show an excellent agreement from previous work. It is found that dual solutions exist for a certain range of shrinking and suction parameter for all problems. Therefore, stability analysis is performed to determine the stable solutions by using the bvp4c function. This analysis concludes that, only the first solution is stable and physically significant while the second solution is unstable.
format	Thesis
qualification_level	Doctorate
author	Ismail, Nurul Syuhada
author_facet	Ismail, Nurul Syuhada
author_sort	Ismail, Nurul Syuhada
title	Stability analysis of dual solutions for boundary layer stagnation point flow over a shrinking sheet with suction
title_short	Stability analysis of dual solutions for boundary layer stagnation point flow over a shrinking sheet with suction
title_full	Stability analysis of dual solutions for boundary layer stagnation point flow over a shrinking sheet with suction
title_fullStr	Stability analysis of dual solutions for boundary layer stagnation point flow over a shrinking sheet with suction
title_full_unstemmed	Stability analysis of dual solutions for boundary layer stagnation point flow over a shrinking sheet with suction
title_sort	stability analysis of dual solutions for boundary layer stagnation point flow over a shrinking sheet with suction
granting_institution	Universiti Putra Malaysia
publishDate	2018
url	http://psasir.upm.edu.my/id/eprint/77181/1/IPM%202018%2010%20-%20IR.pdf
_version_	1747813207469195264

Stability analysis of dual solutions for boundary layer stagnation point flow over a shrinking sheet with suction

Similar Items